Railways R.R.C. (Hazipur) Solved Paper Held on 27-10-2013

  • question_answer
    \[\frac{{{(946+157)}^{2}}+{{(946-157)}^{2}}}{(946\times 946+157\times 157)}=?\]

    A) 1                                 

    B) 2

    C) 789                              

    D) 1103

    Correct Answer: B

    Solution :

    Let 946 be a and 157 be b: \[\frac{{{(a+b)}^{2}}+{{(a-b)}^{2}}}{({{a}^{2}}+{{b}^{2}})}\] \[=\frac{{{a}^{2}}+{{b}^{2}}+2ab+{{a}^{2}}+{{b}^{2}}-2ab}{({{a}^{2}}+{{b}^{2}})}\] \[=\frac{2\,\,({{a}^{2}}+{{b}^{2}})}{({{a}^{2}}+{{b}^{2}})}=2\]


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